Comparing measure theoretic entropy for σ -finite measures with topological entropy

Magda Komorníková; Jozef Komorník

Mathematica Slovaca (1983)

  • Volume: 33, Issue: 1, page 3-8
  • ISSN: 0139-9918

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Komorníková, Magda, and Komorník, Jozef. "Comparing measure theoretic entropy for $\sigma $-finite measures with topological entropy." Mathematica Slovaca 33.1 (1983): 3-8. <http://eudml.org/doc/34143>.

@article{Komorníková1983,
author = {Komorníková, Magda, Komorník, Jozef},
journal = {Mathematica Slovaca},
keywords = {regular measure on topological space; topological entropy; measure theoretic entropy; comparing theorem for entropies of a continuous transformation of a noncompact space; invariant probability measures},
language = {eng},
number = {1},
pages = {3-8},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Comparing measure theoretic entropy for $\sigma $-finite measures with topological entropy},
url = {http://eudml.org/doc/34143},
volume = {33},
year = {1983},
}

TY - JOUR
AU - Komorníková, Magda
AU - Komorník, Jozef
TI - Comparing measure theoretic entropy for $\sigma $-finite measures with topological entropy
JO - Mathematica Slovaca
PY - 1983
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 33
IS - 1
SP - 3
EP - 8
LA - eng
KW - regular measure on topological space; topological entropy; measure theoretic entropy; comparing theorem for entropies of a continuous transformation of a noncompact space; invariant probability measures
UR - http://eudml.org/doc/34143
ER -

References

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  1. ADLER R. L., KONHEIM A. G., McANDREW M. H., Topological entropy, Trans. Amer. Math. Soc., 114, 1965, 309-319. (1965) Zbl0127.13102MR0175106
  2. BILLINGSLEY P., Ergodic Theory and Information, John Wiley and Sons, 1965. (1965) Zbl0141.16702MR0192027
  3. DENKER M., GRILLENBERG, Ch., SIGMUND K., Ergodic Theory on Compact Spaces, Lect. Notes in Math. 527, Springer, Berlin 1976. (1976) MR0457675
  4. FRIEDMAN N. A., Introduction to Ergodic Theory, Van Nostrand, New York 1970. (1970) Zbl0212.40004MR0435350
  5. GOODMAN T.N.T., Relating Topological Entropy with Measure Theoretic Entropy, Bull. London Math. Soc. 3, 1971, 176-180. (1971) MR0289746
  6. GOODWIN L., Comparing Topological Entropy with Measure Theoretic Entropy, Amer. J. Math. 94, 1972, 366-388. (1972) MR0310191
  7. MISIUREWICZ M., Topological Conditional Entropy, Studia Math. T. LV, 1976, 175-200. (1976) Zbl0355.54035MR0415587
  8. WALTERS P., Ergodic Theory - Introductory Lectures, Springer 458, 1975. (1975) Zbl0299.28012MR0480949

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